1.A metal fabricator produces connecting rods with an outer diameter that has a 1.028±0.04 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.012 inches with a standard deviation of 0.007 inch.
2. Ten samples of 15 parts each were taken from an ongoing process to establish a p chart for control. The samples and the number of defectives in each are shown in the following table:
SAMPLE n NUMBER OF
DEFECTS IN
SAMPLE SAMPLE n NUMBER OF
DEFECTS IN
SAMPLE
1 15 3 6 15 0
2 15 0 7 15 2
3 15 1 8 15 3
4 15 3 9 15 2
5 15 2 10 15 2
3.
A shirt manufacturer buys cloth by the 100 yard roll from a supplier. For setting up a control chart to manage the irregularities (e.g., loose threads and tears) the following data was collected from a sample provided by the supplier.
SAMPLE 1 2 3 4 5 6 7 8 9 10
IRREGULARITIES 6 5 6 8 6 4 7 7 7 5
(b) Suppose the next five rolls from the supplier had nine, two, five, seven and six irregularities. What is the UCL?
(c) Is the supplier process under control?
Calculate the process capability index for this example. 1.143
Explanation:
=1.143
2.
Ten samples of 15 parts each were taken from an ongoing process to establish a p chart for control. The samples and the number of defectives in each are shown in the following table:
SAMPLE n NUMBER OF
DEFECTS IN
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